Answer:
5/2
Step-by-step explanation:
rise over run | you rise up 5 everytime and you go right 2 everytime
Answer:
See below in bold.
Step-by-step explanation:
(x - 1)(x^2 + 1)
= x(x^2 + 1) - 1(x^2 + 1)
= x^3 + x - x^2 - 1
= x^3 - x^2 - x - 1.
Leading coefficient = 1.
Constant term = -1.
Degree = 3. (because of the x^3).
Answer:
(1.5, 2.5) is the best approximate solution.
Step-by-step explanation:
According to the graph, at the point of intersection of these two lines, x is closest to 1.5 and y is simultaneously closest to 2.5.
(1.5, 2.5) is the best approximate solution.
Step-by-step explanation:
Here, f(x) is the given polynomial.
By remainder Theorem,
When divided by (3x-1),
f(1/3) = -3........(1)
When divided by (x+1),
f(-1) = -7.........(2)
<em>Another</em><em> </em><em>polynomial</em><em> </em><em>is</em><em> </em><em>3</em><em>x</em><em>²</em><em>+</em><em>2</em><em>x</em><em>-</em><em>1</em>
Solving,
3x²+2x-1
= 3x²+3x-x-1
=3x(x+1)-(x+1)
=(3x-1)(x+1)
So
f(x) = (3x-1)(x+1)Qx + (ax+b)
For f(-1),
-7 = -a+b
b= a-7
For f(1/3),
-3 = a/3+b
or, -3 = a/3+a-7
or, 4×3 = 4a
or a = 3
Also, b = 3-7 =-4
Hence, remainder is (3x-4)
Answer:
A'(-1,-3)
B'(-2,-2)
C'(-4,-3)
Step-by-step explanation:
The rotation by 90° counterclockwise about the origin has the rule
So, the vertices of the triangle ABC have the images:
see attached diagram for details.
